Square root of 212

The square root of 212 is 14.56022 (rounded to 6 decimal places). In simplest radical form it is 2√53.

Square root of 212

Pick any whole number from 1 to 10,000.

\sqrt{212} = 2\sqrt{53} \approx 14.56022

How to work it out

1
The square root of 212 is the number that multiplied by itself gives 212.
2
212 is between the perfect squares 14² = 196 and 15² = 225, so its square root is between 14 and 15.
3
Pull out the biggest square factor: 212 = 4 × 53, so
$\sqrt{212} = \sqrt{4 \times 53} = 2\sqrt{53}$
4
A calculator, or long division of digits, gives
$\sqrt{212} \approx 14.56022$

LaTeX source of the formulas on this page

\[ \sqrt{212} = 2\sqrt{53} \approx 14.56022 \]
\[ \sqrt{212} = \sqrt{4 \times 53} = 2\sqrt{53} \]
\[ \sqrt{212} \approx 14.56022 \]

What is the square root of 212?

The square root of 212 is 14.56022 (rounded to 6 decimal places). In simplest radical form it is 2√53.

Is 212 a perfect square?

No. It lies between 14² = 196 and 15² = 225.

What is 212 squared?

212 × 212 = 44944.

What is the square root of 212 rounded to 2 decimals?

14.56.